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Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Sep;76(3 Pt 2):037201. Epub 2007 Sep 24.

Proximity to periodic windows in bifurcation diagrams as a gateway to coherence resonance in chaotic systems.

Author information

1
Department of Physics, Faculty of Natural Sciences and Mathematics, University of Maribor, Koroska cesta 160, SI-2000 Maribor, Slovenia.

Abstract

We show that chaotic states situated in the proximity of periodic windows in bifurcation diagrams are eligible for the observation of coherence resonance. In particular, additive Gaussian noise of appropriate intensity can enhance the temporal order in such chaotic states in a resonant manner. Results obtained for the logistic map and the Lorenz equations suggest that the presented mechanism of coherence resonance is valid beyond particularities of individual systems. We attribute the findings to the increasing attraction of imminent periodic orbits and the ability of noise to anticipate their existence and use a modified wavelet analysis to support our arguments.

PMID:
17930370
DOI:
10.1103/PhysRevE.76.037201

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